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Finding the Fourth Proportional to 6,911.92, 10,369.47 and 2,167.81

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Solution

The fourth proportional to 6,911.92, 10,369.47 and 2,167.81 is: 3,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.92 : 10,369.47 = 2,167.81 : x
  2. Step 2: Convert to fraction form
    6,911.92/10,369.47 = 2,167.81/x
  3. Step 3: Cross multiply
    6,911.92x = 10,369.47 × 2,167.81
  4. Step 4: Simplify right side
    6,911.92x = 22,479,069.10
  5. Step 5: Solve for x
    x = 22,479,069.10/6,911.92
  6. Step 6: Final answer
    x = 3,252.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.